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Stability of mechanical systems under stochastic parametric excitation

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Stability of Stochastic Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 294))

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References

  • Ariaratnam, S.T. and Graefe, P.W.U., 1965, Int. J. Control, 2, 161.

    Article  Google Scholar 

  • Ariaratnam, S.T., 1965. Proc. Int. Conf. on Dynamic Stability of Structures, Ed: G. Herrmann, Pergamon, 1966, 255.

    Google Scholar 

  • Ariaratnam, S.T., 1967, Proc. Can. Cong. Appl. Math., Vol. III, 163.

    Google Scholar 

  • Ariaratnam, S.T., 1969, Proc. IUTAM Symp. on Instability of Continuous Systems, Ed: H. Leipholz, Springer-Verlag, 78.

    Google Scholar 

  • Bogdanoff, J.L. and Kozin, F., 1962, J. Acous. Soc. Am., 34, 1063.

    Article  MathSciNet  Google Scholar 

  • Bolotin, V.V., 1964, The Dynamic Stability of Elastic Systems, Holden-Day, Inc.

    Google Scholar 

  • Bolotin, V.V., 1971, Study No. 6, Stability, Ed: H. Leipholz, Solid Mechanics Division, University of Waterloo, 385.

    Google Scholar 

  • Caughey, T.K. and Dienes, J.K., 1962, J. Math. Phys., 40–41, 300.

    Article  MathSciNet  Google Scholar 

  • Caughey, T.K. and Gray, A.H. Jr., 1965, J. Appl. Mech., 32, 365.

    Article  MathSciNet  Google Scholar 

  • Chelpanov, I.B., 1962, PMM, 26, 762, English Translation, 1145.

    MathSciNet  Google Scholar 

  • Dimentberg, F., 1961, Flexural Vibration of Rotating Shafts, Butterworths.

    Google Scholar 

  • Graefe, P.W.U., 1966, Ing. Arch., 35, 202.

    Article  Google Scholar 

  • Gray, A.H. Jr., 1967, J. Appl. Mech., 34, 1017.

    Article  Google Scholar 

  • Infante, E.T., 1968, J. Appl. Mech., 35.

    Google Scholar 

  • Kozin, F., 1963, J. Math. Phys., 42, 59.

    Article  MathSciNet  Google Scholar 

  • Kushner, H.J., 1967, Stochastic Stability and Control, Academic Press.

    Google Scholar 

  • Man, F.T., 1970, J. Appl. Mech., 37, 541.

    Article  Google Scholar 

  • Mettler, E., 1965, Proc. Int. Conf. on Dynamic Stability of Structures, Ed: G. Herrmann, Pergamon, 1966, 169.

    Google Scholar 

  • Mettler, E., 1967, Proc. Fourth Conf. on Nonlinear Oscillations, Prague, Academia, 1968; 51.

    Google Scholar 

  • Samuels, J.C., 1960, J. Acoust. Soc. Am., 32, 594.

    Article  MathSciNet  Google Scholar 

  • Samuels, J.C., 1961, J. Acoust. Soc. Am., 33, 1782.

    Article  MathSciNet  Google Scholar 

  • Stratonovich, R.L., 1963, Topics in the Theory of Random Noise, Vol. I, Gordon and Breach.

    Google Scholar 

  • Stratonovich, R.L., and Romanovskii, Yu.M., 1958, Nauchnye doklady vysshei shkoly, Fiziko-mat. nauk., 3, 221, Reprinted in Non-Linear Transformations of Random Processes, Ed: Kuznetsov, P.I., R.L. Stratonovich and V.I. Tikhonov, Pergamon, 1965, 332.

    Google Scholar 

  • Wedig, W., 1972, Proc. IUTAM Symposium on Stability of Stochastic Dynamical Systems, Springer-Verlag.

    Google Scholar 

  • Weidenhammer, F., 1964, Ing. Arch., 33, 404.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Solid Mechanics Division, University of Waterloo, Waterloo, Ontario, Canada

    S. T. Ariaratnam

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  1. S. T. Ariaratnam
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© 1972 Springer-Verlag

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Ariaratnam, S.T. (1972). Stability of mechanical systems under stochastic parametric excitation. In: Stability of Stochastic Dynamical Systems. Lecture Notes in Mathematics, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064949

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  • DOI: https://doi.org/10.1007/BFb0064949

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06050-5

  • Online ISBN: 978-3-540-38000-9

  • eBook Packages: Springer Book Archive

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